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Digital Tools for Mathematics
Daniel Groenewald
#cewapl
https://goo.gl/LJtDre
Learning intention
To provide you with a balance of
Digital Tools to enhance teaching and learning in Mathematics
Digital processes to enhance teaching and learning
Padlethttps://padlet.com/daniel_groenewa/technology
How do you use technologies in your
classroom to enhance mathematics?
Today’s Meet
https://todaysmeet.com/Practice1
What questions do you have?
QR codeshttp://www.qr-code-generator.com/
Can you make your resources easily
accessible?
SocrativeSocrative Student
Do digital tools cut down your workload?
EdpuzzleEd Puzzle
How can you leverage off the content of others for the
good of students?
https://goo.gl/nhMTmi
Make something
for classTime to have a go!
Where to from here?• We have the technology
• We have the curriculum mandate
• We have some exemplary practices
• What do we most need to do now?
Digital Pedagogies
https://goo.gl/LTWns5
https://www.youtube.com/watch?v=c3YdaWiQuZY
How do you use technology in your
classroom?
Sleek, integrated and well designed?
Image: https://en.wikipedia.org/wiki/File:Rocket-bike.jpg
Or added on?
Traditional Approaches to Ed-Tech pedagogy – Primary
TECHNOLOGY CONTENT KNOWLEDGEPEDAGOGY
Traditional Approaches to Ed-Tech pedagogy – Secondary
TECHNOLOGY CONTENT KNOWLEDGE
PEDAGOGY
How do we know if we are using technology
well?
Can we match Technologies to Effect Sizes? Technique Effective
sizeTech choices SAMR scale Teaching and
learning phase Formative evaluation with analytics
.90 Socrative quiz Film learning ShowbieZaption
Augmentation Building knowledge
Classroom discussion
.82 Online ForumYouTube video comments Twitter Instagram
Augmentation Building knowledge
Teacher and Lesson clarity
.75 Published lesson plans on the LMS Flipped learning with learning analytics
Augmentation Prior to engagement
Student feedback .75 Ongoing live OneNote Live google docs Showbie
Modification Building knowledge and reflection
Adapted from Hattie visible learning
Leveraging human learning preferences: The Ed-Tech Quintet
Mode Traditional realisation Associated Practice Digital Realisation
Social Listening, talking, storytelling Communication, collaboration, Sharing
Commenting, dialoguing through social media
Mobility On the savannah, in-situ workshop
Anytime, Anyplace Learning and Creation
At home, on the bus, whatevs
Visualisation Painting Making abstract concepts tangible
Infographics, websites,
Storytelling Within family setting, around the campfire
Knowledge integration and transmission
iMovie, YouTube, BookCreator,
Gaming Chasing, running, catching, outwitting
Feedback loops and formative assessment
Khan Academy, Udemy, Socrative, Maths Space
Puentedura: http://hippasus.com/rrpweblog/
REDEFINTION E
MODIFICATIONE
AUGMENTATION
SUBSTITUTION E
TRANSFO
RMATIO
N
ENHA
NCE
MEN
T
The SAMR ModelRuben R. Puentedura,
Transformation, Technology, and Education. (2006) Online at:
http://hippasus.com/resources/tte/
PDF with hyperlinks
Imovie
Weebly
Tech acts as a tool substitute with no functional change to task
Tech acts as a tool substitute with functional change to task
Tech enables improvement in task design
Tech enables significant improvement to task in a way that was inconceivable in the paper based world
Group 1 https://goo.gl/YFc1sk
Group 2 https://goo.gl/lZ5nQo
Group 3 https://goo.gl/7Skvz0
Group 4 https://goo.gl/EF75va
Group 5 https://goo.gl/7JLN1H
Group 6 https://goo.gl/RertvU
Gro
up L
inks
Lesson evaluations using SAMR
Get into groups of four, access the resource on the next slide and complete the activities.
TPACK+CAPbTECHNOLOGY PEDAGOGY
CONTENT KNOWLEDGE
TPACK with adaptions: Mishra and Koehler (2006)
21ST C General CAPABILITIES
Investigating
Communicating
Creating
Applying social & ethical protocols
Managing and operating ICT
ICT
Critical & Creative
Thinking Personal & social
capabilityIntercultural understanding
Maximising student choice over what they learn and how they learn supercharges motivation and sustains positive learning
behaviorsProject-problem
based
ContentKnowledge Pedagogy
Autonomy
Technology
ENGAGEMENT
Making teaching and learning choices that
connect with the elements of DDLD is critical to effective instruction
Strong learning area specific expertise that is
curricula compliant advantageously fast tracks scaffolding and targets key skills and knowledge more
effectively
Effective deep learning cuts across learning areas through project based learning tasks
that investigate real and relevant questions and assess learners on authentic outputs
Learning contexts that engage, excite, enthuse, personalise
and challenge are the foundation of effective
sustained learning
Groenewald 2016
The Elements of Deep Digital Learning Design
Capabilities
EngagementWellbeing
Effective planning with/for technology capabilities increases engagement, collaboration and access to skills and knowledge
Effective planning with/for technology capabilities increases engagement,
collaboration and access to skills and knowledge
25
The pedagogy of cave exploration
Using Deep Learning Assessment Matrices
Rule 1. Complete all the shaded activities.
Rule 2. Complete another three activities. They must not be in the same column or row.
Rule 3. Choose a partner and complete another Activity.
Word Logic & Maths Space & Vision Body Music People Self
Remembering
List ten key ideas associated with
images that were important to the Ancient Greeks.
Create an accurate itinerary of the daily
life of a Spartan solider and share with peers to get feedback
Chart or simulate the journey of
Alexandra the Great graphically.
In a group, act out a battle between
competing Ancient Greek City-states.
Find an appropriate song or piece of music to
accompany a series of images that recounts an
important event in Ancient Greece
With a partner, prepare a short
talk about a famous Ancient
Greek
In your journal, explain what you
found most interesting about Ancient Greece.
UnderstandingDescribe a famous
battlein Ancient Greeceand its outcome
Create a timeline of significant events in
Ancient Greece
Tell the story of a key event in Ancient Greece in cartoon
form
Build an A4 size model of an important Ancient
Greek building or monument. Explain its
construction and importance.
Write and perform and song that celebrates or laments an episode in
Ancient Greek mythology.
Describe the behaviours you would expect to
see from a typical boy and a typical
girl in Ancient Greek society
Describe how you prepare to be a Spartan Soldier.
ApplyingCreate a test about
Ancient Greece in the style of Who Wants to
be A Millionaire
Calculate the provisions required to
feed and shelter a battalion of soldiers in
the Trojan War
Create a poster to promote the values of an Ancient-Greek
City state
Teach a gymnastic or athletic skill performed by Ancient Greeks to
your friends
Record an audio retelling of a famous story from Ancient Greece using
sound effects
Participate in a debate about the different attitudes to the education of boys and girls
in Sparta
Explain your personal beliefs about the value of war for
solving conflict in Ancient Greece
Analysing
Explain why Ancient Greek City-States
struggled to defend themselves from outside forces.
Explain and chart alternative routes and
methods of travel from Sparta to Athens
Use a Venn diagram to compare Ancient Greece with Ancient
Egypt.
Perform a role play of a famous Ancient Greek scientist or philosopher
relating news of a discovery
Which event from Ancient Greek history
would be best accompanied by
dramatic music and why?
Instruct a class on the skills required to be successful
Greek Soldier
Compare and contrast the
experiences of teenage boys and
girls in Ancient Greece
Evaluating
List 5 assets that were essential to
maintaining harmony between Greek City-
States
Chart similarities and differences between Ancient Greece and
modern Australia using a graphic
organiser
Use a series ofPhotos or
Photostory to explain the rise and
fall of Ancient Greece
Evaluate the benefits of the Olympic Games to
Ancient Greece
Explain how effective a Greek amphitheatre was in carrying sound to the
audience
As a group, determine the
legacy of Ancient Greece
Explain how you would feel if you were
part of a defeated Army in Ancient
Greece
Creating
Compose a poem, story, newspaper
article, vlog, podcast, describing an uplifting or tragic moment in
Ancient Greece
Create an infographic poster explaining the
mathematical theories of an Ancient Greek
Mathematician considering their
relevance to modern life
Accurately draw/model and
label the parts of a Greek Ship, such as
a Trireme, explaining the purpose of the
boat’s design and its success in battle.
Dress up/ as an Ancient Greek and take your
class on a virtual tour of your City-State or
lecture your class in the style of an Ancient Greek Philosopher
Write a song celebrating the achievement of a
specific City State
Facilitate a class debate on an
important issue in Ancient Greece such as slavery.
Which type of Ancient Greek citizen do you most resemble (e.g..
soldier, scientist, philosopher) and
why?
DIAGNOSIS
ENGAGEMENT
BUILDING KNOWLEDGE
TRANSFORMATION
PRESENTATION
REFLECTION
THE DIGITAL LEARNING AND
TEACHING CYCLE
Socrative
TedTalks
Zaption
Explain Everything
Powtoons
Blog
D Groenewald (2016): Adapted from K. Love et al, BUILT: 2003
Pedagogical flow
Apps at pedagogically appropriate
stage of learning
Instructional work flow
Activity General Capability ICT Capability Element
ICT tool
SAMR level
Learning Aras intention/focus
By the end of this lesson, students will be able to identify
Diagnosis
Engagement
Building Knowledge
Transformation
Presentation
Reflection
Creating and evaluating a lesson/unit with ICT
D G
roen
ewal
d: A
dapt
ed fr
om K
. Lov
e et
al,
BU
ILT:
200
3
How can tech be leveraged?
What do Studentsneed to know
What do they need to to investigate
Driving Question orchallenge
Students tochose How to present
Present learning publicly
Get feedback to improve
The elements of Project
Based Learning
Instructional work flow
Activity General Capability
ICT Capability ICT tool
SAMR level
Learning Aras intention/focus
By the end of this lesson, students will be able to
Big Idea
Essential questionThe Challenge
Guiding Questions/Activities SolutionPublish/Reflect
Problem Based Learning (PBL)
http:
//im
ages
.app
le.c
om/e
duca
tion/
docs
/CBL
_Cla
ssro
om_G
uide
_Jan
_201
1.pd
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